Theory and Modern Applications
Table 7 The errors for the RBF collocation method in two norms
h | κ(A) | \(\|u-U_{\mathrm{RBF}}\|_{2}\) | ratio | \(\|u-U_{\mathrm{RBF}}\|_{\infty}\) | ratio |
|---|---|---|---|---|---|
1/16 | 1.4646e+09 | 1.3794e–03 | – | 1.7503e–02 | – |
1/32 | 3.9473e+14 | 6.9637e–05 | 19.81 | 1.5305e–03 | 11.44 |
1/64 | 3.5329e+21 | 1.0098e–06 | 68.96 | 2.0507e–05 | 74.63 |
1/128 | 1.8454e+22 | 8.4855e–04 | 0.00 | 8.2442e–03 | 0.00 |